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HW Exponential Growth & Decay
By Marissa Considine
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Last updated over 2 years ago
18 questions
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Question 1
1.
Question 2
2.
Round to the nearest hundredth (2 decimal places).
Use mg as your units.
Question 3
3.
Round to the nearest hundredth (cent - 2 decimal places).
Use $
Question 4
4.
A snowman weighs 108 lbs, but is losing 15% of its weight each day as it melts.
Does this represent growth or decay?
Question 5
5.
A snowman weighs 108 lbs, but is losing 15% of its weight each day.
What is the growth or decay
rate
for this snowman?
Question 6
6.
A snowman weighs 108 lbs, but is losing 15% of its weight each day.
What is the growth or decay
factor
for this snowman?
Question 7
7.
A snowman weighs 108 lbs, but is losing 15% of its weight each day.
Write a function to represent the weight, W, of the snowman as a function of t in days.
Write your answer as W(t)=
Question 8
8.
A snowman weighs 108 lbs, but is losing 15% of its weight each day.
How many pounds does the snowman weigh after 4 days?
Round to the nearest tenth.
Question 9
9.
The median home price in Carlsbad in 2022 was $997,000. In 2021 it was $914,679.
What is the
growth rate
that homes are increasing by?
Round your answer to the nearest whole percent.
Hint: divide
Question 10
10.
The median home price in Carlsbad in 2022 was $997,000. In 2021 it was $914,679.
Estimate the median home price in 2026.
Use the growth rate you found in the previous problem.
Round to the nearest whole dollar.
Question 11
11.
$
Question 12
12.
Question 13
13.
Question 14
14.
Round to the nearest cent (2 decimal places).
Question 15
15.
Categorize each as exponential growth or exponential decay.
f(t)=100(1+.02)^t
f(t)=5,000(0.89)^t
f(t)=9(1-.80)^t
f(t)=32(1.23)^t
A $450,000 house now costs $493,000.
A $85,000 Mustang depreciates over the course of 12 years.
Exponential Growth
Exponential Decay
Question 16
16.
Review from last class!
What is the equation of the horizontal asymptote?
Question 17
17.
Select the transformations this graph has from the parent function y=(1/2)^x.
Then click 'show your work' and graph it!
You can also graph it on graph paper & upload a picture.
1 unit right
vertical stretch by 2 (multiply y-values by 2)
2 units up
3 units right
1 unit left
3 units up
visibility
View drawing
Question 18
18.
What is the y-intercept?